def radd

bend-collections-laws-crypto@1.0.0.0 · proofs/crypto/ed25519/prel.bend:66

import Base
import bend-collections-laws-crypto@1.0.0.0/spec/crypto/curve25519/field.bend as FS
import bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend as F
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend as WD
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fieldops.bend as FO
import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/rel.bend as RL

66def radd(+one: Nat, +h1: {one == 1n : Nat}, +pp: Nat, +hP: {Nat.add(1n+pp, 19n) == WD.sc(255n, one) : Nat}, +x: List<&2, U32>, +y: List<&2, U32>, +a: Nat, +b: Nat, +rx: RL.R(pp, x, a), +ry: RL.R(pp, y, b)) -> RL.R(pp, F.add(x, y), FS.fadd(1n+pp, a, b)):
67  (FO.add_okb(one, h1, x, y, o(pp, x, a, rx), o(pp, y, b, ry)), RL.rc_add(one, h1, pp, hP, x, y, a, b, o(pp, x, a, rx), c(pp, x, a, rx), o(pp, y, b, ry), c(pp, y, b, ry)))